# Worksheet: Magnitude of a 2D Vector

In this worksheet, we will practice determining the magnitude of two-dimensional vectors.

Q1:

What is the magnitude of the vector , where and ?

• A
• B4
• C116
• D
• E

Q2:

What is the magnitude of the vector ?

Q3:

Given that , find the value of .

Q4:

What is the magnitude of the vector ?

• A
• B
• C1
• D
• E41

Q5:

Given that , find the value of .

• A
• B
• C2
• D
• E10

Q6:

Given that , find the value of .

Q7:

What is the magnitude of the vector where and ?

Q8:

How do you write the magnitude of a vector ?

• A
• B
• C
• D
• E

Q9:

The vector is shown on the grid of unit squares below. Find the value of .

Q10:

The vector is shown on the grid of unit squares below. Find the value of .

Q11:

The vector is shown on the grid of unit squares below. Find the value of .

Q12:

What is the magnitude of the vector , where and ?

• A10
• B101
• C1
• D
• E

Q13:

What is the magnitude of the vector ?

Q14:

Given that , find .

• A4
• B200
• C
• D

Q15:

Given that , where and are two perpendicular unit vectors, find .

• A
• B
• C
• D

Q16:

What is the magnitude of the vector ?

Q17:

Find the magnitude of the vector shown on the grid of unit squares below.

Q18:

Find the magnitude of the vector shown on the grid of unit squares below.

• A7
• B50
• C
• D
• E

Q19:

Find the magnitude of the vector shown on the grid of unit squares below.

Q20:

Consider the vectors and .

What is the magnitude of ? Give your answer correct to two decimal places if needed.

What is the magnitude of ? Give your answer correct to two decimal places if needed.

What is the magnitude of ? Give your answer correct to two decimal places if needed.

Q21:

Given that , find the value of .

Q22:

The vector is shown on the grid of unit squares below. Find the value of .

• A
• B
• C5
• D
• E9

Q23:

The vector is shown on the grid of unit squares below. Find the value of .

• A
• B
• C13
• D
• E

Q24:

Find the magnitude of the vector shown on the grid of unit squares below.

Q25:

The vector is shown on the grid of unit squares below. Find the value of .